Final answer:
To write the equation 4x - 4y = 7 in slope-intercept form, we need to isolate the y variable. By subtracting 4x from both sides and dividing by -4, we get y = x - 7/4.
Step-by-step explanation:
The given equation is 4x - 4y = 7.
To write this equation in slope-intercept form, which is y = mx + b, we need to isolate the y variable.
First, let's subtract 4x from both sides of the equation: - 4y = -4x + 7.
Next, let's divide both sides of the equation by -4 to solve for y: y = (4/4)x - 7/4.
Simplifying the equation further, we get y = x - 7/4.
Therefore, the equation in slope-intercept form is y = x - 7/4.
Learn more about Slope-intercept form of an equation